Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 232/381, 6119/939 quickly i.e. 48952/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 232/381, 6119/939 is 48952/3.
LCM(232/381, 6119/939) = 48952/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 232/381,6119/939
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 232,6119
Least Common Multiple of Numerators i.e. LCM of 232,6119 is 48952.
GCF of Denominators means GCF of 381,939 as per the given fractions.
GCF of 381,939 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 232,6119
29 | 232, 6119 |
8, 211 |
∴ So the LCM of the given numbers is 29 x 8 x 211 = 48952
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 232,6119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,6119) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(232,6119) x common factors =29 x 1 = 29
LCM(232,6119) = ( 232 × 6119 ) / 29
LCM(232,6119) = 1419608 / 29
LCM(232,6119) = 48952
Lets's calculate GCF of 381,939
3 | 381, 939 |
127, 313 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48952/3
Therefore the LCM of Fractions 232/381,6119/939 is 48952/3
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 381,939 . The biggest common factor number is the GCF number.
So the greatest common factor 381,939 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 232/381, 6119/939?
Answer: LCM of Numerators as per given numbers 232/381, 6119/939 is
LCM of Numerators i.e. for 232,6119 is 48952
GCF of denominators i.e. for 381,939 is 3.
Thus, LCM of Fractions is 48952/3.Finally, LCM of Fractions for 232/381, 6119/939 is 48952/3.